Superposition worksheet with answers

Free printable Superposition worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy

Use superposition to find the current I_R1 through R₁ in the direction of the arrow.

V₁ = 15 VV₂ = 12 VR₁ = 8 ΩR₂ = 5 ΩR₃ = 10 Ω

I_R1 = A

2.Easy

A linear resistive circuit contains two independent voltage sources, V₁ = 12 V and V₂ = 9 V. With both sources on, the current through the load resistor is I = 21.5 mA. With V₂ switched off (replaced by a short circuit) and V₁ unchanged, the load current is 2.5 mA. Find the load current I when V₁ is switched off and only V₂ = 9 V is active.

I = 21.5 mA (both sources)I = 2.5 mA (only V₁)

I = mA

3.Medium

Use superposition to find the power P_R4 absorbed by R₄.

V₁ = 9 VI_s = 2.5 AR₁ = 5 ΩR₂ = 10 ΩR₃ = 15 ΩR₄ = 8 Ω

P_R4 = W

4.Medium

Use superposition to find the voltage V_R4 across R₄ with the polarity shown.

V₁ = 9 VI_s = 1.5 AR₁ = 8 ΩR₂ = 4 ΩR₃ = 12 ΩR₄ = 10 Ω

V_R4 = V

5.Hard

Use superposition to find the current I_R3 through R₃ in the direction of the arrow.

V₁ = 5 VI_s = 5 AV₂ = 9 VR₁ = 8 ΩR₂ = 5 ΩR₃ = 3 ΩR₄ = 10 Ω

I_R3 = A

6.Hard

Use superposition to find the power P_R2 absorbed by R₂.

V₁ = 6 VI_s = 4 AV₂ = 5 VR₁ = 15 ΩR₂ = 6 ΩR₃ = 2 ΩR₄ = 4 Ω

P_R2 = W

Answer key

1. I_R1 = 0.6176 A
2. I = 19 mA
3. P_R4 = 31 W
4. V_R4 = −10.14 V
5. I_R3 = −2.894 A
6. P_R2 = 4.594 W

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